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122144214301 = 535773994121
BaseRepresentation
bin111000111000001011…
…1001100110100011101
3102200021102212222112221
41301300113030310131
54000122404324201
6132040130225341
711552563456024
oct1616027146435
9380242788487
10122144214301
114788a25205a
121b809a25251
13b6974b6025
145caa0218bb
15329d3534a1
hex1c705ccd1d

122144214301 has 8 divisors (see below), whose sum is σ = 124664535864. Its totient is φ = 119631882240.

The previous prime is 122144214287. The next prime is 122144214307. The reversal of 122144214301 is 103412441221.

It can be written as a sum of positive squares in 4 ways, for example, as 76391432100 + 45752782201 = 276390^2 + 213899^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122144214301 - 231 = 119996730653 is a prime.

It is a super-2 number, since 2×1221442143012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122144214307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1966480 + ... + 2027641.

It is an arithmetic number, because the mean of its divisors is an integer number (15583066983).

Almost surely, 2122144214301 is an apocalyptic number.

It is an amenable number.

122144214301 is a deficient number, since it is larger than the sum of its proper divisors (2520321563).

122144214301 is an equidigital number, since it uses as much as digits as its factorization.

122144214301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3994751.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 122144214301 its reverse (103412441221), we get a palindrome (225556655522).

The spelling of 122144214301 in words is "one hundred twenty-two billion, one hundred forty-four million, two hundred fourteen thousand, three hundred one".

Divisors: 1 53 577 30581 3994121 211688413 2304607817 122144214301